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330000027 = 37101157991
BaseRepresentation
bin10011101010110…
…110011010011011
3211222221201221020
4103222312122123
51133440000102
652425013523
711114645130
oct2352663233
9758851836
10330000027
1115a3049a5
12926242a3
13534a2ab6
1431b82587
151de87bbc
hex13ab669b

330000027 has 32 divisors (see below), whose sum is σ = 511586304. Its totient is φ = 185328000.

The previous prime is 330000023. The next prime is 330000031. The reversal of 330000027 is 720000033.

It is an interprime number because it is at equal distance from previous prime (330000023) and next prime (330000031).

It is not a de Polignac number, because 330000027 - 22 = 330000023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 329999970 and 330000015.

It is not an unprimeable number, because it can be changed into a prime (330000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332502 + ... + 333492.

It is an arithmetic number, because the mean of its divisors is an integer number (15987072).

Almost surely, 2330000027 is an apocalyptic number.

330000027 is a deficient number, since it is larger than the sum of its proper divisors (181586277).

330000027 is a wasteful number, since it uses less digits than its factorization.

330000027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259.

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 330000027 is about 18165.9028677355. The cubic root of 330000027 is about 691.0423418477.

The spelling of 330000027 in words is "three hundred thirty million, twenty-seven", and thus it is an aban number.

Divisors: 1 3 7 21 101 157 303 471 707 991 1099 2121 2973 3297 6937 15857 20811 47571 100091 110999 155587 300273 332997 466761 700637 1089109 2101911 3267327 15714287 47142861 110000009 330000027